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Finding the Third Proportional to 524,859.75 and 1,102,587.19

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Solution

The third proportional to 524,859.75 and 1,102,587.19 is: 2,316,234.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,859.75 : 1,102,587.19 = 1,102,587.19 : x
  2. Step 2: Convert to fraction form
    524,859.75/1,102,587.19 = 1,102,587.19/x
  3. Step 3: Cross multiply
    524,859.75x = 1,102,587.19 × 1,102,587.19
  4. Step 4: Simplify right side
    524,859.75x = 1,215,698,506,039.16
  5. Step 5: Solve for x
    x = 1,215,698,506,039.16/524,859.75
  6. Step 6: Final answer
    x = 2,316,234.97

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.